| Title:
|
On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds (English) |
| Author:
|
Aquino, Cícero P. |
| Author:
|
de Lima, Henrique F. |
| Author:
|
dos Santos, Fábio R. |
| Author:
|
Velásquez, Marco Antonio L. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
515-529 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple. (English) |
| Keyword:
|
locally symmetric Riemannian manifolds |
| Keyword:
|
Einstein manifolds |
| Keyword:
|
complete linear Weingarten hypersurfaces |
| Keyword:
|
totally umbilical hypersurfaces |
| Keyword:
|
isoparametric hypersurfaces |
| MSC:
|
53A10 |
| MSC:
|
53C20 |
| MSC:
|
53C42 |
| MSC:
|
53C50 |
| idZBL:
|
Zbl 06537721 |
| idMR:
|
MR3434226 |
| DOI:
|
10.14712/1213-7243.2015.137 |
| . |
| Date available:
|
2015-12-17T11:51:24Z |
| Last updated:
|
2018-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144756 |
| . |
| Reference:
|
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